Atkin-Lehner |
2- 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576cb |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2209536 |
Modular degree for the optimal curve |
Δ |
-876945426008703744 = -1 · 28 · 3 · 73 · 112 · 317 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1705261,857720951] |
[a1,a2,a3,a4,a6] |
j |
-2142183059401251364864/3425568070346499 |
j-invariant |
L |
3.3674694712528 |
L(r)(E,1)/r! |
Ω |
0.28062241160666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644d1 |
Quadratic twists by: -4 |